Hi Srem naren,
I hope u don't mind me answering ur questions instead of teacher Paul. I also hope that you'll forgive me if my idea doesn't meet ur needs or it goes wrong.
Here are my viewpoints
1/
We'd rather that she work in the same company. this sentence suggests that we prefer/want her to work in the same company.
We's rather that she worked in the same company. this sentence suggests that she doesn't work in that company right now. The use of past tense (worked) refers to present situation.
2/ " That of/those of " is more formal than "
's "
3/
It's necessary that he find the book. In my view, i think that he doesn't find the book and the sentence suggests that we want him to fine the book.
4/ As well as means "
not only...but also " It's used to indicate information that is already known to the reader/ listener, that is,
thing that follows "as well as" is known thing and thing that peocedes "as well as' is new/unknown one.
eg. He speaks Chinese in Cambodia as well as in China. (We already known that Chinese is spoken in China)
5/ Yes, it's feasible to say so. That's the
exception for Parallel Structure, in other word, if sentence indicates that different clauses happen at different times, it doesn't need to be paralleled. Obviously, she is a senior (present), studies everyday (present) but will graduate (future) so this's the exception (
different clauses happen at differnt times)
6/ I love her than him [
informal use ]
I love her than he does [
formal use ]
I love her than he [
formal use but old fashion/dated ]
7/ They are the same, the difference is their name, just like relative clause and adjective clause (same function, different name)
eg. You're good at English.
Therefore, ur questions are difficult to answer. [ Therefore is conjunctive adv/transition. ]
8/ Special verb is

(it's on the tip of my tongue) sorry!
Auxiliary verb is verb used to indicate tense, voice, possibility, certainty, permission...etc. [ be, have, do, must, can...]
Modal verb is part of aux.verb used to show possibility, permission, obligatin...etc. [ must, can, could, shall...]
Semi-modal vreb is verb that have similiar meaning to modal verb but are grammatically different. For example,
must (modal) doesn't use aux.v DO to make question, but
have to (semi-modal) needs aux.v DO to form question. [ Must I go ] but [ Do I have to go ] [
Full/ordinary verb is verb that carries the main meaning of the clause/sentence. [ love, study...]
9/ Noun phrase is group of word that functions as a subject, object or complement. [ the sea, a girl, black car ]
Adj phrase is adj plus adv of degree. [ very careful ]
Adv phrase is adv plus adv of degree. [ very carefully ]
V phrase is verb/group of verb functions as verb. [ have studied ]
Prep phrase is prep plus noun phrase. [ in the sea ]
Modifying adv. is

( it's sth I have to find out too) sorry!
Appositive is the reduced form of adj clause. [ Mr Paul, a qualified teacher, is a good person. ]
a qualified teacher is appositive Nominate Absolute is

(I've never heard of it, :roll:) sorry!
To infinitive is To plus simple form of verb. [ to study ]
Participle is the +ed form (past/passive participle) or +ing form (present/active participle) of a verb. [ waited, waiting]
Gerund is verbal noun/ ing form of a verb [ I like reading] reading is gerund.
That's all for me [
Forgive me for something incorrect ]
Hope this will help,
Jupiter